The questions are, 'how do we break down these walls?' and 'what is the way forward to stop this infighting between two areas with a common cause?'
Well, a bit of an attitude change at places like Hamilton Place and Birdcage Walk would help - but frankly I think that they are the symptom, not the disease.
I think a culture change is called for - include experienced technicians in the teaching staff of University Aerospace Engineering departments, and experienced graduates teaching - particularly the theory side - to apprentices and on HND/HNC courses. Add in a prohibition on anybody who has gone straight from school-to-university-to-PhD teaching in universities until they've gone out and got some real world Engineering experience (e.g. got IEng or CEng) then I think you'd start to solve the problem.
Will this happen? Almost certainly not, but one can dream.
G